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Finding the Fourth Proportional to 189,900, 262,039.32 and 105,005.52

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Solution

The fourth proportional to 189,900, 262,039.32 and 105,005.52 is: 144,895.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,900 : 262,039.32 = 105,005.52 : x
  2. Step 2: Convert to fraction form
    189,900/262,039.32 = 105,005.52/x
  3. Step 3: Cross multiply
    189,900x = 262,039.32 × 105,005.52
  4. Step 4: Simplify right side
    189,900x = 27,515,575,057.05
  5. Step 5: Solve for x
    x = 27,515,575,057.05/189,900
  6. Step 6: Final answer
    x = 144,895.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.